Question

Determining an Equation and Type of Graph Jeff hiked for 2 hours and traveled 5 miles. If he continues at the same pace, which equation will show the relationship between the time, t, in hours he hikes to distance, d, in miles? Will the graph be continuous or discrete? d = 0.4t, discrete d = 0.4t, continuous d = 2.5t, discrete d = 2.5t, continuous

Answer 1

2 hrs and traveled 5 miles....5/2 = 2.5 miles per hr

d = 2.5t.....I believe this is continuous

Answer 2

The correct option is:

d = 2.5t , continuous

Explanation:

It is given that:

Jeff hiked for 2 hours and traveled 5 miles.

This means that the speed of Jeff is:

`Speed=2.5\ miles\ per\ hour`

( Since speed is defined as the ratio of distance over time i.e.

`Speed=(Distance)/(Time)`

i.e.

`Speed=(5)/(2)=2.5\ miles\ per\ hour` )

Also, it is given that:

He continues at the same pace.

This means that the speed remains constant over the time.

Hence, the relationship that holds between the distance(d) and time(t) is:

`d=2.5t`

Since,

`Distance=Speed* time`

Also, the graph will be continuous , since the distance depends over the period of time and he will travel different distance over different time.